Barry builds sand castles 50% faster than Michelle. If it takes Michelle 48 minutes to build a sand castle, how many

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Barry builds sand castles 50% faster than Michelle. If it takes Michelle 48 minutes to build a sand castle, how many minutes does it take Barry to build a sand castle?

A. 16
B. 20
C. 24
D. 32
E. 40



OA D

Source: Veritas Prep

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BTGmoderatorDC wrote:
Mon Sep 21, 2020 4:51 pm
Barry builds sand castles 50% faster than Michelle. If it takes Michelle 48 minutes to build a sand castle, how many minutes does it take Barry to build a sand castle?

A. 16
B. 20
C. 24
D. 32
E. 40



OA D

Solution:

Let Michelle’s rate = r, then Barry’s rate = 1.5r. Since Michelle’s time is 48 minutes and time = job/rate, we have 48 = 1/r and hence r = 1/48 and 1.5r = 3/2 x 1/48 = 1/32. Therefore, Barry’s time is 1/(1/32) = 32 minutes.

Answer: D

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BTGmoderatorDC wrote:
Mon Sep 21, 2020 4:51 pm
Barry builds sand castles 50% faster than Michelle. If it takes Michelle 48 minutes to build a sand castle, how many minutes does it take Barry to build a sand castle?

A. 16
B. 20
C. 24
D. 32
E. 40



OA D

Source: Veritas Prep
\(a \cdot 1.5 = 48\)
\(a = \dfrac{48}{1.5}\)
\(a = 32\)